Topic 4 Triangle Congruence Review

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What is the definition of Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if their corresponding sides and angles are equal.

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What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

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What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence because two different triangles can be formed with the same two sides and a non-included angle.

Front

How can you determine if two triangles are congruent using a congruence statement?

Back

A congruence statement lists the corresponding vertices of two congruent triangles, indicating which angles and sides are equal.

Front

What is the significance of the reflexive property in triangle congruence?

Back

The reflexive property states that a geometric figure is congruent to itself, which is often used in proofs involving shared sides or angles.

Front

What is the purpose of a proof in geometry?

Back

A proof in geometry is a logical argument that demonstrates the truth of a statement or theorem using definitions, postulates, and previously established theorems.